The function g(x) - f(x) = -2x - 8.
What is function?
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.
According to the given question.
We have two functions.
\(f(x) = 5x -1\)
and
\(g(x) = 3x - 9\)
Therefore, the function g(x) - f(x) is given by
\(g(x) - f(x)\)
\(= 3x - 9 -(5x -1)\)
\(= 3x - 9 - 5x + 1\)
\(=-2x -8\)
Hence, the function g(x) - f(x) = -2x - 8.
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